A hemispherical bowl of internal diameter 36 cm is full of a liquid. This liquid is to be filled into cylindrical bottles each of radius 3 cm and height 12 cm. How many such bottles are required to empty the bowl?
Radius of hemispherical bowl = 36/2 = 18 cm
Radius of cylindrical bottle = 3 cm
Height of cylindrical bottle = 12 cm
Volume of n bottles = volume of hemispherical bowl
$$n \times \pi r_2^2 \times 12 = \frac{2}{3}\pi r_1^3$$
$$n \times 3^2 \times 12 = \frac{2}{3}\times 18^3$$
$$n = \frac{2 \times 18^3}{27 \times 12}$$
n = 36
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